<html><!-- Created using the cpp_pretty_printer from the dlib C++ library.  See http://dlib.net for updates. --><head><title>dlib C++ Library - rectangle.h</title></head><body bgcolor='white'><pre>
<font color='#009900'>// Copyright (C) 2005  Davis E. King (davis@dlib.net)
</font><font color='#009900'>// License: Boost Software License   See LICENSE.txt for the full license.
</font><font color='#0000FF'>#ifndef</font> DLIB_RECTANGLe_
<font color='#0000FF'>#define</font> DLIB_RECTANGLe_

<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='rectangle_abstract.h.html'>rectangle_abstract.h</a>"
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../algs.h.html'>../algs.h</a>"
<font color='#0000FF'>#include</font> <font color='#5555FF'>&lt;</font>algorithm<font color='#5555FF'>&gt;</font>
<font color='#0000FF'>#include</font> <font color='#5555FF'>&lt;</font>iostream<font color='#5555FF'>&gt;</font>
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../serialize.h.html'>../serialize.h</a>"
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='vector.h.html'>vector.h</a>"
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../image_processing/generic_image.h.html'>../image_processing/generic_image.h</a>"

<font color='#0000FF'>namespace</font> dlib
<b>{</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>    
    <font color='#0000FF'>class</font> <b><a name='rectangle'></a>rectangle</b>
    <b>{</b>
        <font color='#009900'>/*!
            INITIAL VALUE
                The initial value of this object is defined by its constructor.

            CONVENTION
                left() == l
                top() == t
                right() == r
                bottom() == b
        !*/</font>

    <font color='#0000FF'>public</font>:

        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> l_,
            <font color='#0000FF'><u>long</u></font> t_,
            <font color='#0000FF'><u>long</u></font> r_,
            <font color='#0000FF'><u>long</u></font> b_
        <font face='Lucida Console'>)</font> :
            l<font face='Lucida Console'>(</font>l_<font face='Lucida Console'>)</font>,
            t<font face='Lucida Console'>(</font>t_<font face='Lucida Console'>)</font>,
            r<font face='Lucida Console'>(</font>r_<font face='Lucida Console'>)</font>,
            b<font face='Lucida Console'>(</font>b_<font face='Lucida Console'>)</font>
        <b>{</b><b>}</b>

        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> w,
            <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> h
        <font face='Lucida Console'>)</font> :
            l<font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>,
            t<font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>,
            r<font face='Lucida Console'>(</font><font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>w<font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>,
            b<font face='Lucida Console'>(</font><font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>h<font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#BB00BB'>DLIB_ASSERT</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>w <font color='#5555FF'>&gt;</font> <font color='#979000'>0</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> h <font color='#5555FF'>&gt;</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font> <font color='#5555FF'>|</font><font color='#5555FF'>|</font> <font face='Lucida Console'>(</font>w <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>0</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> h <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>,
                "<font color='#CC0000'>\trectangle(width,height)</font>"
                <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>\n\twidth and height must be &gt; 0 or both == 0</font>"
                <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>\n\twidth:  </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> w 
                <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>\n\theight: </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> h 
                <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>\n\tthis: </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> <font color='#0000FF'>this</font>
                <font face='Lucida Console'>)</font>;
        <b>}</b>

        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
        <font face='Lucida Console'>)</font> :
            l<font face='Lucida Console'>(</font>p.x<font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>,
            t<font face='Lucida Console'>(</font>p.y<font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>,
            r<font face='Lucida Console'>(</font>p.x<font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>,
            b<font face='Lucida Console'>(</font>p.y<font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
        <b>{</b>
        <b>}</b>

        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p1,
            <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p2
        <font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font>;
        <b>}</b>

        <font color='#0000FF'>template</font> <font color='#5555FF'>&lt;</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>&gt;</font>
        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> vector<font color='#5555FF'>&lt;</font>T,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font><font color='#5555FF'>&amp;</font> p1,
            <font color='#0000FF'>const</font> vector<font color='#5555FF'>&lt;</font>T,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font><font color='#5555FF'>&amp;</font> p2
        <font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font>;
        <b>}</b>

        <b><a name='rectangle'></a>rectangle</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> :
            l<font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>,
            t<font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>,
            r<font face='Lucida Console'>(</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>,
            b<font face='Lucida Console'>(</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>
        <b>{</b><b>}</b>

        <font color='#0000FF'><u>long</u></font> <b><a name='top'></a>top</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> t; <b>}</b>

        <font color='#0000FF'><u>long</u></font><font color='#5555FF'>&amp;</font> <b><a name='top'></a>top</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> t; <b>}</b>

        <font color='#0000FF'><u>void</u></font> <b><a name='set_top'></a>set_top</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> top_
        <font face='Lucida Console'>)</font> <b>{</b> t <font color='#5555FF'>=</font> top_; <b>}</b>

        <font color='#0000FF'><u>long</u></font> <b><a name='left'></a>left</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> l; <b>}</b>

        <font color='#0000FF'><u>long</u></font><font color='#5555FF'>&amp;</font> <b><a name='left'></a>left</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> l; <b>}</b>

        <font color='#0000FF'><u>void</u></font> <b><a name='set_left'></a>set_left</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> left_
        <font face='Lucida Console'>)</font> <b>{</b> l <font color='#5555FF'>=</font> left_; <b>}</b>

        <font color='#0000FF'><u>long</u></font> <b><a name='right'></a>right</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> r; <b>}</b>

        <font color='#0000FF'><u>long</u></font><font color='#5555FF'>&amp;</font> <b><a name='right'></a>right</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> r; <b>}</b>

        <font color='#0000FF'><u>void</u></font> <b><a name='set_right'></a>set_right</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> right_
        <font face='Lucida Console'>)</font> <b>{</b> r <font color='#5555FF'>=</font> right_; <b>}</b>

        <font color='#0000FF'><u>long</u></font> <b><a name='bottom'></a>bottom</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> b; <b>}</b>

        <font color='#0000FF'><u>long</u></font><font color='#5555FF'>&amp;</font> <b><a name='bottom'></a>bottom</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> b; <b>}</b>

        <font color='#0000FF'><u>void</u></font> <b><a name='set_bottom'></a>set_bottom</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> bottom_
        <font face='Lucida Console'>)</font> <b>{</b> b <font color='#5555FF'>=</font> bottom_; <b>}</b>

        <font color='#0000FF'>const</font> point <b><a name='tl_corner'></a>tl_corner</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> <font color='#BB00BB'>point</font><font face='Lucida Console'>(</font><font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>; <b>}</b>

        <font color='#0000FF'>const</font> point <b><a name='bl_corner'></a>bl_corner</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> <font color='#BB00BB'>point</font><font face='Lucida Console'>(</font><font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>; <b>}</b> 

        <font color='#0000FF'>const</font> point <b><a name='tr_corner'></a>tr_corner</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> <font color='#BB00BB'>point</font><font face='Lucida Console'>(</font><font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>; <b>}</b>

        <font color='#0000FF'>const</font> point <b><a name='br_corner'></a>br_corner</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> <font color='#BB00BB'>point</font><font face='Lucida Console'>(</font><font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>; <b>}</b>
       
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='width'></a>width</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> 
        <b>{</b> 
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>is_empty</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> <font color='#979000'>0</font>;
            <font color='#0000FF'>else</font>
                <font color='#0000FF'>return</font> r <font color='#5555FF'>-</font> l <font color='#5555FF'>+</font> <font color='#979000'>1</font>; 
        <b>}</b>

        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='height'></a>height</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> 
        <b>{</b> 
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>is_empty</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> <font color='#979000'>0</font>;
            <font color='#0000FF'>else</font>
                <font color='#0000FF'>return</font> b <font color='#5555FF'>-</font> t <font color='#5555FF'>+</font> <font color='#979000'>1</font>; 
        <b>}</b>

        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='area'></a>area</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>return</font> <font color='#BB00BB'>width</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font><font color='#BB00BB'>height</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='is_empty'></a>is_empty</b> <font face='Lucida Console'>(</font>
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> <b>{</b> <font color='#0000FF'>return</font> <font face='Lucida Console'>(</font>t <font color='#5555FF'>&gt;</font> b <font color='#5555FF'>|</font><font color='#5555FF'>|</font> l <font color='#5555FF'>&gt;</font> r<font face='Lucida Console'>)</font>; <b>}</b>

        rectangle <b><a name='operator'></a>operator</b> <font color='#5555FF'>+</font> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rhs
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>rhs.<font color='#BB00BB'>is_empty</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>is_empty</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> rhs;

            <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font> <font face='Lucida Console'>(</font>
                std::<font color='#BB00BB'>min</font><font face='Lucida Console'>(</font>l,rhs.l<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>min</font><font face='Lucida Console'>(</font>t,rhs.t<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>max</font><font face='Lucida Console'>(</font>r,rhs.r<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>max</font><font face='Lucida Console'>(</font>b,rhs.b<font face='Lucida Console'>)</font>
                <font face='Lucida Console'>)</font>;
        <b>}</b>

        rectangle <b><a name='intersect'></a>intersect</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rhs
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font> <font face='Lucida Console'>(</font>
                std::<font color='#BB00BB'>max</font><font face='Lucida Console'>(</font>l,rhs.l<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>max</font><font face='Lucida Console'>(</font>t,rhs.t<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>min</font><font face='Lucida Console'>(</font>r,rhs.r<font face='Lucida Console'>)</font>,
                std::<font color='#BB00BB'>min</font><font face='Lucida Console'>(</font>b,rhs.b<font face='Lucida Console'>)</font>
                <font face='Lucida Console'>)</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='contains'></a>contains</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> l <font color='#5555FF'>|</font><font color='#5555FF'>|</font> p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> r <font color='#5555FF'>|</font><font color='#5555FF'>|</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> t <font color='#5555FF'>|</font><font color='#5555FF'>|</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> b<font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='contains'></a>contains</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'><u>long</u></font> x,
            <font color='#0000FF'><u>long</u></font> y
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>x <font color='#5555FF'>&lt;</font> l <font color='#5555FF'>|</font><font color='#5555FF'>|</font> x <font color='#5555FF'>&gt;</font> r <font color='#5555FF'>|</font><font color='#5555FF'>|</font> y <font color='#5555FF'>&lt;</font> t <font color='#5555FF'>|</font><font color='#5555FF'>|</font> y <font color='#5555FF'>&gt;</font> b<font face='Lucida Console'>)</font>
                <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='contains'></a>contains</b> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b>
            <font color='#0000FF'>return</font> <font face='Lucida Console'>(</font>rect <font color='#5555FF'>+</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font>;
        <b>}</b>

        rectangle<font color='#5555FF'>&amp;</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>+</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p 
        <font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font>;
            <font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
        <b>}</b>

        rectangle<font color='#5555FF'>&amp;</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>+</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect
        <font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>+</font> rect;
            <font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect 
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> 
        <b>{</b>
            <font color='#0000FF'>return</font> <font face='Lucida Console'>(</font>l <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rect.l<font face='Lucida Console'>)</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> <font face='Lucida Console'>(</font>t <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rect.t<font face='Lucida Console'>)</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> <font face='Lucida Console'>(</font>r <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rect.r<font face='Lucida Console'>)</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> <font face='Lucida Console'>(</font>b <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rect.b<font face='Lucida Console'>)</font>;
        <b>}</b>

        <font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font color='#5555FF'>!</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
            <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect 
        <font face='Lucida Console'>)</font> <font color='#0000FF'>const</font> 
        <b>{</b>
            <font color='#0000FF'>return</font> <font color='#5555FF'>!</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rect<font face='Lucida Console'>)</font>;
        <b>}</b>

        <font color='#0000FF'>inline</font> <font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font color='#5555FF'>&lt;</font> <font face='Lucida Console'>(</font><font color='#0000FF'>const</font> dlib::rectangle<font color='#5555FF'>&amp;</font> b<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
        <b>{</b> 
            <font color='#0000FF'>if</font>      <font face='Lucida Console'>(</font><font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> b.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> b.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> b.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> b.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> b.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> b.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> b.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
            <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> b.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
            <font color='#0000FF'>else</font>                    <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
        <b>}</b>

    <font color='#0000FF'>private</font>:
        <font color='#0000FF'><u>long</u></font> l;
        <font color='#0000FF'><u>long</u></font> t;
        <font color='#0000FF'><u>long</u></font> r;
        <font color='#0000FF'><u>long</u></font> b;   
    <b>}</b>;

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>void</u></font> <b><a name='serialize'></a>serialize</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> item, 
        std::ostream<font color='#5555FF'>&amp;</font> out
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>try</font>
        <b>{</b>
            <font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>; 
        <b>}</b>
        <font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&amp;</font> e<font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n   while serializing an object of type rectangle</font>"<font face='Lucida Console'>)</font>;
        <b>}</b>
    <b>}</b>

    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>void</u></font> <b><a name='deserialize'></a>deserialize</b> <font face='Lucida Console'>(</font>
        rectangle<font color='#5555FF'>&amp;</font> item, 
        std::istream<font color='#5555FF'>&amp;</font> in
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>try</font>
        <b>{</b>
            <font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>; 
            <font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>; 
        <b>}</b>
        <font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&amp;</font> e<font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n   while deserializing an object of type rectangle</font>"<font face='Lucida Console'>)</font>;
        <b>}</b>
    <b>}</b>

    <font color='#0000FF'>inline</font> std::ostream<font color='#5555FF'>&amp;</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> <font face='Lucida Console'>(</font>
        std::ostream<font color='#5555FF'>&amp;</font> out, 
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> item 
    <font face='Lucida Console'>)</font>   
    <b>{</b>
        out <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>[(</font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> item.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>, </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> item.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>) (</font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> item.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>, </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> item.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>)]</font>";
        <font color='#0000FF'>return</font> out;
    <b>}</b>

    <font color='#0000FF'>inline</font> std::istream<font color='#5555FF'>&amp;</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>&gt;</font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>
        std::istream<font color='#5555FF'>&amp;</font> in, 
        rectangle<font color='#5555FF'>&amp;</font> item 
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#009900'>// ignore any whitespace
</font>        <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\r</font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\n</font>'<font face='Lucida Console'>)</font>
            in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <font color='#009900'>// now eat the leading '[' character
</font>        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>[</font>'<font face='Lucida Console'>)</font>
        <b>{</b>
            in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
            <font color='#0000FF'>return</font> in;
        <b>}</b>

        point p1, p2;
        in <font color='#5555FF'>&gt;</font><font color='#5555FF'>&gt;</font> p1;
        in <font color='#5555FF'>&gt;</font><font color='#5555FF'>&gt;</font> p2;
        item <font color='#5555FF'>=</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font>;

        <font color='#009900'>// ignore any whitespace
</font>        <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\r</font>' <font color='#5555FF'>|</font><font color='#5555FF'>|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\n</font>'<font face='Lucida Console'>)</font>
            in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <font color='#009900'>// now eat the trailing ']' character
</font>        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>]</font>'<font face='Lucida Console'>)</font>
        <b>{</b>
            in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
        <b>}</b>
        <font color='#0000FF'>return</font> in;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='centered_rect'></a>centered_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'><u>long</u></font> x,
        <font color='#0000FF'><u>long</u></font> y,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        rectangle result;
        result.<font color='#BB00BB'>set_left</font> <font face='Lucida Console'>(</font> x <font color='#5555FF'>-</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>width<font face='Lucida Console'>)</font> <font color='#5555FF'>/</font> <font color='#979000'>2</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_top</font> <font face='Lucida Console'>(</font> y <font color='#5555FF'>-</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>height<font face='Lucida Console'>)</font> <font color='#5555FF'>/</font> <font color='#979000'>2</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_right</font> <font face='Lucida Console'>(</font> result.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> width <font color='#5555FF'>-</font> <font color='#979000'>1</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_bottom</font> <font face='Lucida Console'>(</font> result.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> height <font color='#5555FF'>-</font> <font color='#979000'>1</font> <font face='Lucida Console'>)</font>;
        <font color='#0000FF'>return</font> result;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> rectangle <b><a name='intersect'></a>intersect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> a,
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> b
    <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> a.<font color='#BB00BB'>intersect</font><font face='Lucida Console'>(</font>b<font face='Lucida Console'>)</font>; <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> <b><a name='area'></a>area</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> a
    <font face='Lucida Console'>)</font> <b>{</b> <font color='#0000FF'>return</font> a.<font color='#BB00BB'>area</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>; <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> point <b><a name='center'></a>center</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> dlib::rectangle<font color='#5555FF'>&amp;</font> rect
    <font face='Lucida Console'>)</font>
    <b>{</b>
        point <font color='#BB00BB'>temp</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>1</font>,
                   rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>1</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> <font color='#979000'>1</font>;

        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> <font color='#979000'>1</font>;

        <font color='#0000FF'>return</font> temp<font color='#5555FF'>/</font><font color='#979000'>2</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> dlib::vector<font color='#5555FF'>&lt;</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font> <b><a name='dcenter'></a>dcenter</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> dlib::rectangle<font color='#5555FF'>&amp;</font> rect
    <font face='Lucida Console'>)</font>
    <b>{</b>
        dlib::vector<font color='#5555FF'>&lt;</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font> <font color='#BB00BB'>temp</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
                                    rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>return</font> temp<font color='#5555FF'>/</font><font color='#979000'>2.0</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>long</u></font> <b><a name='distance_to_rect_edge'></a>distance_to_rect_edge</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>using</font> std::max;
        <font color='#0000FF'>using</font> std::min;
        <font color='#0000FF'>using</font> std::abs;

        <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> dist_x <font color='#5555FF'>=</font> <font color='#BB00BB'>min</font><font face='Lucida Console'>(</font><font color='#BB00BB'>abs</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>, <font color='#BB00BB'>abs</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
        <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> dist_y <font color='#5555FF'>=</font> <font color='#BB00BB'>min</font><font face='Lucida Console'>(</font><font color='#BB00BB'>abs</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>,  <font color='#BB00BB'>abs</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <font color='#0000FF'>return</font> <font color='#BB00BB'>min</font><font face='Lucida Console'>(</font>dist_x,dist_y<font face='Lucida Console'>)</font>;
        <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>=</font> p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>=</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <font color='#0000FF'>return</font> dist_y;
        <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>=</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&amp;</font><font color='#5555FF'>&amp;</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font><font color='#5555FF'>=</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <font color='#0000FF'>return</font> dist_x;
        <font color='#0000FF'>else</font>
            <font color='#0000FF'>return</font> dist_x <font color='#5555FF'>+</font> dist_y;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> point <b><a name='nearest_point'></a>nearest_point</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        point <font color='#BB00BB'>temp</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font>;
        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&lt;</font> rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>return</font> temp;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>size_t</u></font> <b><a name='nearest_rect'></a>nearest_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> std::vector<font color='#5555FF'>&lt;</font>rectangle<font color='#5555FF'>&gt;</font><font color='#5555FF'>&amp;</font> rects,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#BB00BB'>DLIB_ASSERT</font><font face='Lucida Console'>(</font>rects.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&gt;</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>;
        <font color='#0000FF'><u>size_t</u></font> idx <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
        <font color='#0000FF'><u>double</u></font> best_dist <font color='#5555FF'>=</font> std::numeric_limits<font color='#5555FF'>&lt;</font><font color='#0000FF'><u>double</u></font><font color='#5555FF'>&gt;</font>::<font color='#BB00BB'>infinity</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

        <font color='#0000FF'>for</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>size_t</u></font> i <font color='#5555FF'>=</font> <font color='#979000'>0</font>; i <font color='#5555FF'>&lt;</font> rects.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>; <font color='#5555FF'>+</font><font color='#5555FF'>+</font>i<font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>rects[i].<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <b>{</b>
                <font color='#0000FF'>return</font> i;
            <b>}</b>
            <font color='#0000FF'>else</font>
            <b>{</b>
                <font color='#0000FF'><u>double</u></font> dist <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>nearest_point</font><font face='Lucida Console'>(</font>rects[i],p<font face='Lucida Console'>)</font><font color='#5555FF'>-</font>p<font face='Lucida Console'>)</font>.<font color='#BB00BB'>length</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
                <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>dist <font color='#5555FF'>&lt;</font> best_dist<font face='Lucida Console'>)</font>
                <b>{</b>
                    best_dist <font color='#5555FF'>=</font> dist;
                    idx <font color='#5555FF'>=</font> i;
                <b>}</b>
            <b>}</b>
        <b>}</b>
        <font color='#0000FF'>return</font> idx;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>template</font> <font color='#5555FF'>&lt;</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U<font color='#5555FF'>&gt;</font>
    <font color='#0000FF'><u>double</u></font> <b><a name='distance_to_line'></a>distance_to_line</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> std::pair<font color='#5555FF'>&lt;</font>vector<font color='#5555FF'>&lt;</font>T,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font>,vector<font color='#5555FF'>&lt;</font>T,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font> <font color='#5555FF'>&gt;</font><font color='#5555FF'>&amp;</font> line,
        <font color='#0000FF'>const</font> vector<font color='#5555FF'>&lt;</font>U,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font><font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>const</font> vector<font color='#5555FF'>&lt;</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>&gt;</font> delta <font color='#5555FF'>=</font> p<font color='#5555FF'>-</font>line.second;
        <font color='#0000FF'>const</font> <font color='#0000FF'><u>double</u></font> along_dist <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>line.first<font color='#5555FF'>-</font>line.second<font face='Lucida Console'>)</font>.<font color='#BB00BB'>normalize</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>.<font color='#BB00BB'>dot</font><font face='Lucida Console'>(</font>delta<font face='Lucida Console'>)</font>;
        <font color='#0000FF'>return</font> std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>max</font><font face='Lucida Console'>(</font><font color='#979000'>0.0</font>,delta.<font color='#BB00BB'>length_squared</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> along_dist<font color='#5555FF'>*</font>along_dist<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'><u>void</u></font> <b><a name='clip_line_to_rectangle'></a>clip_line_to_rectangle</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> box,
        point<font color='#5555FF'>&amp;</font> p1,
        point<font color='#5555FF'>&amp;</font> p2
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#009900'>// Now clip the line segment so it is contained inside box.
</font>        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>p1.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> p2.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p1.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> box.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p2.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> box.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <b>}</b>
        <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>p1.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> p2.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p1.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> box.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p2.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> box.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
        <b>}</b>
        <font color='#0000FF'>else</font>
        <b>{</b>
            <font color='#009900'>// We use these relations to find alpha values.  These values tell us
</font>            <font color='#009900'>// how to generate points intersecting the rectangle boundaries.  We then
</font>            <font color='#009900'>// test the resulting points for ones that are inside the rectangle and output
</font>            <font color='#009900'>// those.
</font>            <font color='#009900'>//box.left()  == alpha1*(p1.x()-p2.x()) + p2.x();
</font>            <font color='#009900'>//box.right() == alpha2*(p1.x()-p2.x()) + p2.x();
</font>
            <font color='#0000FF'>const</font> point d <font color='#5555FF'>=</font> p1<font color='#5555FF'>-</font>p2;
            <font color='#0000FF'><u>double</u></font> alpha1 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>  <font color='#5555FF'>-</font>p2.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>d.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'><u>double</u></font> alpha2 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font>p2.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>d.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'><u>double</u></font> alpha3 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>   <font color='#5555FF'>-</font>p2.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>d.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'><u>double</u></font> alpha4 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>p2.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>d.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

            <font color='#0000FF'>const</font> point c1 <font color='#5555FF'>=</font> alpha1<font color='#5555FF'>*</font>d <font color='#5555FF'>+</font> p2;
            <font color='#0000FF'>const</font> point c2 <font color='#5555FF'>=</font> alpha2<font color='#5555FF'>*</font>d <font color='#5555FF'>+</font> p2;
            <font color='#0000FF'>const</font> point c3 <font color='#5555FF'>=</font> alpha3<font color='#5555FF'>*</font>d <font color='#5555FF'>+</font> p2;
            <font color='#0000FF'>const</font> point c4 <font color='#5555FF'>=</font> alpha4<font color='#5555FF'>*</font>d <font color='#5555FF'>+</font> p2;

            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p1 <font color='#5555FF'>=</font> c1;
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                p2 <font color='#5555FF'>=</font> c2;
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>c3<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <b>{</b>
                <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                    p2 <font color='#5555FF'>=</font> c3;
                <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                    p1 <font color='#5555FF'>=</font> c3;
            <b>}</b>
            <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>c4<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
            <b>{</b>
                <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p2<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                    p2 <font color='#5555FF'>=</font> c4;
                <font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>box.<font color='#BB00BB'>contains</font><font face='Lucida Console'>(</font>p1<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
                    p1 <font color='#5555FF'>=</font> c4;
            <b>}</b>
        <b>}</b>

        p1 <font color='#5555FF'>=</font> <font color='#BB00BB'>nearest_point</font><font face='Lucida Console'>(</font>box, p1<font face='Lucida Console'>)</font>;
        p2 <font color='#5555FF'>=</font> <font color='#BB00BB'>nearest_point</font><font face='Lucida Console'>(</font>box, p2<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='centered_rect'></a>centered_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>centered_rect</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,width,height<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='centered_rect'></a>centered_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>centered_rect</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font color='#979000'>2</font>,  <font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font color='#979000'>2</font>, width, height<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='shrink_rect'></a>shrink_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> num 
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>num, rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>num, rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>num, rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>num<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='grow_rect'></a>grow_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> num 
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>shrink_rect</font><font face='Lucida Console'>(</font>rect, <font color='#5555FF'>-</font>num<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='shrink_rect'></a>shrink_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>width, rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>height, rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>width, rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>height<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='grow_rect'></a>grow_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>shrink_rect</font><font face='Lucida Console'>(</font>rect, <font color='#5555FF'>-</font>width, <font color='#5555FF'>-</font>height<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='translate_rect'></a>translate_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        rectangle result;
        result.<font color='#BB00BB'>set_top</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_bottom</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_left</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_right</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>)</font>;
        <font color='#0000FF'>return</font> result;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='translate_rect'></a>translate_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> x,
        <font color='#0000FF'><u>long</u></font> y
    <font face='Lucida Console'>)</font>
    <b>{</b>
        rectangle result;
        result.<font color='#BB00BB'>set_top</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> y <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_bottom</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> y <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_left</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> x <font face='Lucida Console'>)</font>;
        result.<font color='#BB00BB'>set_right</font> <font face='Lucida Console'>(</font> rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> x <font face='Lucida Console'>)</font>;
        <font color='#0000FF'>return</font> result;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='resize_rect'></a>resize_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> width,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> height
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, 
                         rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>width<font color='#5555FF'>-</font><font color='#979000'>1</font>,
                         rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>height<font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='resize_rect_width'></a>resize_rect_width</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> width
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, 
                         rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>width<font color='#5555FF'>-</font><font color='#979000'>1</font>,
                         rect.<font color='#BB00BB'>bottom</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='resize_rect_height'></a>resize_rect_height</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>unsigned</u></font> <font color='#0000FF'><u>long</u></font> height 
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>left</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, 
                         rect.<font color='#BB00BB'>right</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
                         rect.<font color='#BB00BB'>top</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>height<font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='move_rect'></a>move_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rect.<font color='#BB00BB'>width</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font>, p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rect.<font color='#BB00BB'>height</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='move_rect'></a>move_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>long</u></font> x,
        <font color='#0000FF'><u>long</u></font> y 
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>x, y, x<font color='#5555FF'>+</font>rect.<font color='#BB00BB'>width</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font>, y<font color='#5555FF'>+</font>rect.<font color='#BB00BB'>height</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> rectangle <b><a name='set_aspect_ratio'></a>set_aspect_ratio</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> rect,
        <font color='#0000FF'><u>double</u></font> ratio
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#BB00BB'>DLIB_ASSERT</font><font face='Lucida Console'>(</font>ratio <font color='#5555FF'>&gt;</font> <font color='#979000'>0</font>,
            "<font color='#CC0000'>\t rectangle set_aspect_ratio()</font>"
            <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> "<font color='#CC0000'>\n\t ratio: </font>" <font color='#5555FF'>&lt;</font><font color='#5555FF'>&lt;</font> ratio 
            <font face='Lucida Console'>)</font>;

        <font color='#009900'>// aspect ratio is w/h
</font>
        <font color='#009900'>// we need to find the rectangle that is nearest to rect in area but
</font>        <font color='#009900'>// with an aspect ratio of ratio.
</font>
        <font color='#009900'>// w/h == ratio
</font>        <font color='#009900'>// w*h == rect.area()
</font>
        <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>ratio <font color='#5555FF'>&gt;</font><font color='#5555FF'>=</font> <font color='#979000'>1</font><font face='Lucida Console'>)</font>
        <b>{</b>
            <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> h <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>area</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>ratio<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> w <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>h<font color='#5555FF'>*</font>ratio <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>return</font> <font color='#BB00BB'>centered_rect</font><font face='Lucida Console'>(</font>rect, w, h<font face='Lucida Console'>)</font>;
        <b>}</b>
        <font color='#0000FF'>else</font>
        <b>{</b>
            <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> w <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font>rect.<font color='#BB00BB'>area</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>ratio<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>const</font> <font color='#0000FF'><u>long</u></font> h <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'>&lt;</font><font color='#0000FF'><u>long</u></font><font color='#5555FF'>&gt;</font><font face='Lucida Console'>(</font>w<font color='#5555FF'>/</font>ratio <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font>;
            <font color='#0000FF'>return</font> <font color='#BB00BB'>centered_rect</font><font face='Lucida Console'>(</font>rect, w, h<font face='Lucida Console'>)</font>;
        <b>}</b>
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>template</font> <font color='#5555FF'>&lt;</font>
        <font color='#0000FF'>typename</font> T 
        <font color='#5555FF'>&gt;</font>
    <font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> rectangle <b><a name='get_rect'></a>get_rect</b> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> T<font color='#5555FF'>&amp;</font> m
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font><font color='#979000'>0</font>, <font color='#979000'>0</font>, <font color='#BB00BB'>num_columns</font><font face='Lucida Console'>(</font>m<font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font>, <font color='#BB00BB'>num_rows</font><font face='Lucida Console'>(</font>m<font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> rectangle <b><a name='operator'></a>operator</b><font color='#5555FF'>+</font> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> r,
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> r <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
    <font color='#0000FF'>inline</font> rectangle <b><a name='operator'></a>operator</b><font color='#5555FF'>+</font> <font face='Lucida Console'>(</font>
        <font color='#0000FF'>const</font> point<font color='#5555FF'>&amp;</font> p,
        <font color='#0000FF'>const</font> rectangle<font color='#5555FF'>&amp;</font> r
    <font face='Lucida Console'>)</font>
    <b>{</b>
        <font color='#0000FF'>return</font> r <font color='#5555FF'>+</font> <font color='#BB00BB'>rectangle</font><font face='Lucida Console'>(</font>p<font face='Lucida Console'>)</font>;
    <b>}</b>

<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<b>}</b>

<font color='#0000FF'>#endif</font> <font color='#009900'>// DLIB_RECTANGLe_
</font>


</pre></body></html>